Chang, Kung-Ching; Ding, Wei-Yue; Ye, Rugang Finite-time blow-up of the heat flow of harmonic maps from surfaces. (English) Zbl 0765.53026 J. Differ. Geom. 36, No. 2, 507-515 (1992). This paper is concerned with the singular behaviour of solutions to the heat equation of harmonic maps between Riemannian manifolds. The authors construct examples of finite-time blow-up of the solutions in the case where the domain manifold has dimension two for the first time. Reviewer: Pan Yanglian (Shanghai) Cited in 6 ReviewsCited in 138 Documents MSC: 53C20 Global Riemannian geometry, including pinching 58E20 Harmonic maps, etc. 58J35 Heat and other parabolic equation methods for PDEs on manifolds Keywords:heat equation; harmonic maps; finite-time blow-up × Cite Format Result Cite Review PDF Full Text: DOI